PROBLEM 11.

15
The acceleration of point A is defined by the relation a = 200 x(1 + kx 2 ), where a and x are expressed in m/s 2 and meters, respectively, and k is a constant. Knowing that the velocity of A is 2.5 m/s when x = 0 and 5 m/s when x = 0.15 m, determine the value of k.